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2,107,602

2 × 32 × 7 × 43 × 389
Abundant Even Composite

2,107,602 factors as 2 × 3^2 × 7 × 43 × 389. Its 48 positive divisors give a proper-divisor sum of 3,246,318, so this integer is abundant. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 43 × 389
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,353,920
Proper Divisor Sum 3,246,318
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2107601 ← → #2107603

Radix Representation

Decimal 2107602
Binary 1000000010100011010010 (22 bits)
Octal 0o10024322
Hexadecimal 0x2028D2

Divisor Catalog (48)

1 2 3 6 7 9 14 18 21 42 43 63 86 126 129 258 301 387 389 602 774 778 903 1,167 1,806 2,334 2,709 2,723 3,501 5,418 5,446 7,002 8,169 16,338 16,727 24,507 33,454 49,014 50,181 100,362 117,089 150,543 234,178 301,086 351,267 702,534 1,053,801 2,107,602

Collatz Trajectory (104 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

2,107,602 1,053,801 3,161,404 1,580,702 790,351 2,371,054 1,185,527 3,556,582 1,778,291 5,334,874 2,667,437 8,002,312 4,001,156 2,000,578 1,000,289 3,000,868 1,500,434 750,217 2,250,652 1,125,326 562,663 1,687,990 843,995 2,531,986 1,265,993 3,797,980 1,898,990 949,495 2,848,486 1,424,243 4,272,730 2,136,365 6,409,096 3,204,548 1,602,274 801,137 2,403,412 1,201,706 600,853 1,802,560 901,280 450,640 225,320 112,660 56,330 28,165 84,496 42,248 21,124 10,562 5,281 15,844 7,922 3,961 11,884 5,942 2,971 8,914 4,457 13,372

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